Seminars & Colloquia Calendar
Multiply-periodic Hypersurfaces with Constant Nonlocal Mean Curvature
Ignace Aristide Minlend, University of Douala
Location: Hill 705
Date & time: Tuesday, 25 February 2020 at 1:40PM - 3:00PM
Abstract: Hypersurfaces with Constant Non local Mean Curvature can be modelled as interfaces of coexistence in phase transition (of two liquids with different density for instance) when long range interactions are allowed. These hypersurfaces arise as critical points of the fractional perimeter under a volume constraint.
In this talk, we use local inversion argument to prove the existence of smooth branches of multiply-periodic hypersurfaces bifurcating from suitable parallel hyperplanes.